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Finding the Third Proportional to 100,291 and 217,872

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Solution

The third proportional to 100,291 and 217,872 is: 473,304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,291 : 217,872 = 217,872 : x
  2. Step 2: Convert to fraction form
    100,291/217,872 = 217,872/x
  3. Step 3: Cross multiply
    100,291x = 217,872 × 217,872
  4. Step 4: Simplify right side
    100,291x = 47,468,208,384
  5. Step 5: Solve for x
    x = 47,468,208,384/100,291
  6. Step 6: Final answer
    x = 473,304.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.